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Question

Coefficient of x3 and x4 in (1+x+x2+x3+x4)199(x1)201 are .

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Solution

S=(1+x+x2+x3+x4)199(x1)201
=(x51x1)199(x1)201
=(x51)199(x1)2
=(12x+x2)(x51)199
=(x51)1992x(x51)199+x2(x51)199.
Hence there will be no term of x3 and x4.

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